Anarchism... Stands for liberation of the human mind from the dominion of religion; the liberation of the human body from the dominion of property; liberation of shackles and restraint of government. It stands for social order based on the free grouping of individuals.- John Teller

Noun
1.} Horribly idealistic "state" where no figure leads the "nation." People are free to do as they wish, unfortunately people often choose to hurt others.
2.} Often adapted by teens wishing to be cool. Note especially the "pnk" genre of music.

"Aww, yeah, Billy! Ferget the Government, let's go be Anarchists because it is cool!"

A good idea, but will never work in practice. Unfortunately, people need to be told what to do, need to be controlled, need to have someone in charge to tell them "everything’s okay". People are just to comfortable. It's the fucked up way humans have evolved. Get used to it.